A counterexample to a conjecture of Wada

被引：0

作者：

Sambale, Benjamin ^{[1
]}

机构：

[1] TU Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

来源：

JOURNAL OF ALGEBRA | 2017年 / 489卷

关键词：

Cartan matrices of blocks; Eigenvalues; Rationality; CARTAN-MATRICES; EIGENVALUES; BLOCKS;

D O I：

10.1016/j.jalgebra.2017.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Wada conjectured in 2007 that the largest eigenvalue of the Cartan matrix C of a block of a finite group is rational if and only if all eigenvalues of C are rational. We provide a counterexample to this conjecture and discuss related questions. (C) 2017 Elsevier Inc. All rights reserved.

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页码：582 / 585

页数：4

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